Final answer:
To evaluate the determinant of a 2x2 matrix, use the formula: det(A) = ad - bc. Applying this formula to the given matrix, the determinant is 15.
Step-by-step explanation:
To evaluate the determinant of a 2x2 matrix, you can use the formula:
det(A) = ad - bc
where A is the matrix [[a, b],[c, d]].
In this case, the matrix is [[3, -3],[0, 5]].
So, the determinant is:
det([[3, -3],[0, 5]]) = (3 * 5) - ((-3) * 0) = 15
Therefore, the determinant of this matrix is 15.